114520800 has 72 divisors (see below), whose sum is σ = 372773016. Its totient is φ = 30538240.

The previous prime is 114520793. The next prime is 114520807. The reversal of 114520800 is 8025411.

It is an interprime number because it is at equal distance from previous prime (114520793) and next prime (114520807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114520807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21459 + ... + 26258.

It is an arithmetic number, because the mean of its divisors is an integer number (5177403).

Almost surely, 2^114520800 is an apocalyptic number.

114520800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114520800 is an abundant number, since it is smaller than the sum of its proper divisors (258252216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114520800 is a wasteful number, since it uses less digits than its factorization.

114520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47740 (or 47727 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 114520800 is about 10701.4391555529. The cubic root of 114520800 is about 485.6180168410.

It can be divided in two parts, 1145 and 20800, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 114520800 in words is "one hundred fourteen million, five hundred twenty thousand, eight hundred".